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Popular Functions >

y=3cos(2x+pi)

Solution

y = 3 cos (2 x + π)

Solution

Period : π

Domain : - \infty < x < \infty

Range : - 3 \leq f (x) \leq 3

X Intercepts : (\frac{3 π}{4} + πn, 0), (\frac{π}{4} + πn, 0), Y Intercepts : (0, - 3)

Asymptotes : None

Extreme Points : Minimum (πn, - 3), Maximum (\frac{π}{2} + πn, 3)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- 3, 3]

Solution steps

Periodicity of

3 cos (2 x + π) : π

Domain of

3 cos (2 x + π) : - \infty < x < \infty

Range of

3 cos (2 x + π) : - 3 \leq f (x) \leq 3

Axis interception points of

3 cos (2 x + π) :

X Intercepts

: (\frac{3 π}{4} + πn, 0), (\frac{π}{4} + πn, 0),

Y Intercepts

: (0, - 3)

Asymptotes of

3 cos (2 x + π) :

None

Extreme Points of

3 cos (2 x + π) :

Minimum

(πn, - 3),

Maximum

(\frac{π}{2} + πn, 3)

Graph

Popular Examples

y=(3x+2)/(2x-5)

f(x)=(x^3-x^2-2x)/(x^2-x)

f(x)=(sqrt(x^4-5x^2+4))/(sqrt(x^2-5x+4))

f(x)=0.2x^2-20x+900

Frequently Asked Questions (FAQ)

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